Intermediate thermal expansion coefficient glass

ABSTRACT

CTE-matched silicate glasses and more particularly to low-alkali CTE-matched silicate glasses that are useful in semiconductor-based applications, such as photovoltaics are described along with methods of making such glasses.

This application is a Continuation-in-Part of U.S. application Ser. No. 12/573,213, which claims the benefit of priority to U.S. Prov. Appl. No. 61/103,126 filed on Oct. 6, 2008 and to U.S. Prov. Appl. No. 61/177,827 filed on May 13, 2009; a Continuation-in-Part of U.S. application Ser. No. 13/305,051, which claims the benefit of priority to U.S. Prov. Appl. No. 61/418,084 filed on Nov. 30, 2010, U.S. Prov. Appl. No. 61/503,248 filed on Jun. 30, 2011, and U.S. Prov. Appl. No. 61/562,651 filed on Nov. 22, 2011; a Continuation-in-Part of U.S. application Ser. No. 13/569,756, which claims the benefit of priority to U.S. Prov. Appl. No. 61/522,956 filed on Aug. 12, 2011; and a Continuation-in-Part of PCT/US12/49718 which claims benefit of priority to U.S. Prov. Appl. No. 61/515,042 filed on Aug. 4, 2011 and U.S. Prov. Appl. No. 61/565,050 filed on Nov. 30, 2011, all of which are hereby incorporated by reference in their entirety.

BACKGROUND

1. Field

Embodiments relate generally to CTE-matched glasses and more particularly to low- to no-alkali aluminosilicate, borosilicate, and aluminoborosilicate glasses which may be useful in semiconductor-based applications, such as photovoltaics, photochromics, electrochromics, or Organic Light Emitting Diode (OLED) applications.

2. Technical Background

The fusion forming process typically produces flat glass with optimal surface and geometric characteristics useful for many electronics applications, for instance, substrates used in electronics applications, for example, display glass for LCD televisions.

Over the last 10 years, Corning fusion glass products include 1737F™, 1737G™ Eagle2000F™, EagleXG™, Jade™, and Gorilla Glass™. Efficient melting is generally believed to occur at a temperature corresponding to a melt viscosity of about 200 poise (P). These glasses share in common 200 P temperatures in excess of 1600° C., which can translate to accelerated tank and electrode corrosion, greater challenges for fining due to still more elevated finer temperatures, and/or reduced platinum system life time, particularly around the finer. Many have temperatures at 3000 P in excess of about 1300° C., and since this is a typical viscosity for an optical stirrer, the high temperatures at this viscosity can translate to excessive stirrer wear and elevated levels of platinum defects in the body of the glass.

Many of the above described glasses have delivery temperatures in excess of 1200° C., and this can contribute to creep of isopipe refractory materials, particularly for large sheet sizes.

These attributes combine so as to limit flow (because of slow melt rates), to accelerate asset deterioration, to force rebuilds on timescales much shorter than product lifetimes, to force unacceptable (arsenic), expensive (capsule) or unwieldy (vacuum fining) solutions to defect elimination, and thus contribute in significant ways to the cost of manufacturing glass.

In applications in which rather thick, comparatively low-cost glass with less extreme properties is required, these glasses are not only overkill, but prohibitively expensive to manufacture. This is particularly true when the competitive materials are made by the float process, a very good process for producing low cost glass with rather conventional properties. In applications that are cost sensitive, such as large-area photovoltaic panels and OLED lighting, this cost differential has been large enough to make the price point of LCD-type glasses unacceptable.

Competing with the cost constraints for is the continuing drive to make new technologies, like PV, competitive with existing power production methods, e.g., hydro, coal, nuclear, wind, etc., in the power generation industry. To do so, in addition to cost, manufacturers are looking at conversion efficiency, device lifetime, and efficiency degradation—design challenges that need to be addressed to make PV a viable alternative. Soda lime glass has been a common substrate for most PV panels because of its low cost. However, soda lime glasses are not ideal for PV modules, especially CdTe-based thin film PV modules as sodium can cause problems with efficiency and device lifetime. Further, soda lime glasses can have sodium release issues that occur due to environmental conditions. These problems can lead to delamination issues and reduced efficiency. Clearly, there is still an unmet need to find glass compositions that provide optimal substrates for thin film PV devices.

SUMMARY

A first aspect comprises a glass comprising about, in mol %, 60 to 65 percent SiO₂, 8 to 12 percent Al₂O₃, 7 to 15 percent B₂O₃, 0 to 8 percent M₂O, and 9 to 15 percent RO, wherein, M is an alkali metal and wherein, R is an alkaline earth metal, and the glass has a coefficient of thermal expansion of from about 4.0 to about 7.5 ppm/° C. from 25 to 300° C. In some embodiments, the glass has a coefficient of thermal expansion of from about 4.5 to about 6.5 ppm/° C. from 25 to 300° C. In some embodiments, the glass has a coefficient of thermal expansion of from about 4.5 to about 6.0 ppm/° C. from 25 to 300° C. In some embodiments, the glass comprises about 0.1 to 8 mol % M₂O. In some embodiments, the glass further comprises about 0.01 to 0.4 percent SnO₂.

In some embodiments, the glass described above comprises about, in mol %, 61 to 64 percent SiO₂, 8 to 12 percent Al₂O₃, 9 to 15 percent B₂O₃, greater than 0 to 4 percent M₂O, and 12 to 15 percent RO.

In some embodiments, the glass described above comprises about, in mol %, 60 to 65 percent SiO₂, 8 to less than 10 percent Al₂O₃, greater than 11 to 15 percent B₂O₃, greater than 0 to less than 1 percent M₂O, and 9 to 15 percent RO.

In other embodiments, the glass described above comprises about, in mol %, 60 to 65 percent SiO₂, 10 to 12 percent Al₂O₃, 7 to 11 percent B₂O₃, 1 to 8 percent M₂O, and 9 to 15 percent RO.

In other embodiments, the glass described above comprises about, in mol %, 62 to 65 percent SiO₂, 10 to 12 percent Al₂O₃, 7 to 11 percent B₂O₃, 3 to 8 percent MgO, 3 to 10 percent CaO, 3 to 8 percent SrO, and 1 to 8 percent M₂O, wherein, CaO/(CaO+SrO) is from 0.4 and 1.

A second aspect comprises a glass comprising about, in mol %, 20 to 70 percent SiO₂, 5 to 20 percent Al₂O₃, 0 to 15 percent B₂O₃, 0 to 1 percent M₂O, 0 to 10 percent MgO, 8 to 35 percent CaO, 0 to 16 percent SrO, 0 to 9 percent BaO, and 20 to 45 percent RO, wherein, M is an alkali metal and wherein, R is an alkaline earth metal, and the glass has a coefficient of thermal expansion of from about 4.0 to about 7.5 ppm/° C. from 25 to 300° C. In some embodiments, the glass has a coefficient of thermal expansion of from about 4.5 to about 6.5 ppm/° C. from 25 to 300° C. In some embodiments, the glass has a coefficient of thermal expansion of from about 4.5 to about 6.0 ppm/° C. from 25 to 300° C. In some embodiments, the glass comprises about, in mol %, 57 to 68 percent SiO₂, 5 to 12 percent Al₂O₃, 0 to 8 percent B₂O₃, 0 to 0.1 percent M₂O, 0 to 10 percent MgO, 8 to 28 percent CaO, 0 to 10 percent SrO, 0 to 9 percent BaO, and 21 to 32 percent RO, wherein, M is an alkali metal and wherein, R is an alkaline earth metal, and the glass has a coefficient of thermal expansion of from about 4.0 to about 6.0 ppm/° C. from 25 to 300° C.

A third aspect comprises a glass comprising about, in mol %, 60 to 68 percent SiO₂, 8 to 11 percent Al₂O₃, 6 to 11 percent B₂O₃, 0 to 1 percent M₂O; 0 to 5 percent MgO, greater than 0 to 12 percent CaO, 1 to 12 percent SrO, 0 to 8 percent BaO, and 16 to 20 percent RO, wherein R is an alkaline earth metal, and M is an alkali metal, and the glass has a coefficient of thermal expansion of from about 4.0 to about 7.5 ppm/° C. from 25 to 300° C. In some embodiments, the glass has a coefficient of thermal expansion of from about 4.5 to about 6.5 ppm/° C. from 25 to 300° C. In some embodiments, the glass has a coefficient of thermal expansion of from about 4.5 to about 6.0 ppm/° C. from 25 to 300° C.

In some embodiments, the glasses described above are substantially free of BaO, Sb₂O₃, As₂O₃, or combinations thereof. In some embodiments, the glasses described above further comprises 2 mole percent or less of TiO₂, MnO, ZnO, Nb₂O₅, MoO₃, Ta₂O₅, WO₃, ZrO₂, Y₂O₃, La₂O₃, P₂O₅, or combinations thereof. In some embodiments, the glass is ion exchanged.

A fourth aspect comprises a photovoltaic (“PV”) module, comprising a CdTe solar cell material, one or more conductive oxides, and a glass substrate, wherein the glass substrate has a coefficient of thermal expansion of from about 4.0 to about 7.5 ppm/° C. from 25 to 300° C. In some embodiments, the glass substrate has a coefficient of thermal expansion of from about 4.5 to about 6.0 ppm/° C. from 25 to 300° C.

In some embodiments, the glass substrate in the PV module comprises about, in mol %, 60 to 65 percent SiO₂, 8 to 12 percent Al₂O₃, 7 to 15 percent B₂O₃, 0 to 8 percent M₂O, and 9 to 15 percent RO, wherein, M is an alkali metal and wherein, R is an alkaline earth metal. In some embodiments, in the glass substrate in the PV module comprises, in mol %, 60 to 65 percent SiO₂, 8 to 12 percent Al₂O₃, 7 to 15 percent B₂O₃, 0.1 to 8 percent M₂O, 9 to 15 percent RO, and 0.01 to 0.4 percent SnO₂.

In some embodiments, the glass substrate in the PV module comprises about, in mol %, 20 to 70 percent SiO₂, 5 to 20 percent Al₂O₃, 0 to 15 percent B₂O₃, 0 to 1 percent M₂O, 0 to 10 percent MgO, 8 to 35 percent CaO, 0 to 16 percent SrO, 0 to 9 percent BaO, and 20 to 45 percent RO, wherein, M is an alkali metal and wherein, R is an alkaline earth metal.

In some embodiments, the glass substrate in the PV module comprises about, in mol %, 57 to 68 percent SiO₂, 5 to 12 percent Al₂O₃, 0 to 8 percent B₂O₃, 0 to 0.1 percent M₂O, 0 to 10 percent MgO, 8 to 28 percent CaO, 0 to 10 percent SrO, 0 to 9 percent BaO, and 21 to 32 percent RO, wherein, M is an alkali metal and wherein, R is an alkaline earth metal, and the glass has a coefficient of thermal expansion of from about 4.0 to about 6.0 ppm/° C. from 25 to 300° C.

In some embodiments, the glass substrate in the PV module comprises about, in mol %, 60 to 68 percent SiO₂, 8 to 11 percent Al₂O₃, 6 to 11 percent B₂O₃, 0 to 1 percent M₂O; 0 to 5 percent MgO, greater than 0 to 12 percent CaO, 1 to 12 percent SrO, 0 to 8 percent BaO, and 16 to 20 percent RO, wherein R is an alkaline earth metal, and M is an alkali metal.

A fifth aspect comprises a PV device, comprising a CdTe solar cell material having a coefficient of thermal expansion, one or more conductive oxides, and a glass substrate, wherein the glass substrate has a coefficient of thermal expansion that is within about ±2.0 ppm/° C. of the coefficient of thermal expansion of the CdTe solar cell material from 25 to 300° C. In some embodiments, the glass substrate in the PV module has a coefficient of thermal expansion of within about ±1.0 ppm/° C. of the coefficient of thermal expansion of the CdTe solar cell material from 25 to 300° C.

In some embodiments, the glass substrate in the PV device comprises about, in mol %, 60 to 65 percent SiO₂, 8 to 12 percent Al₂O₃, 7 to 15 percent B₂O₃, 0 to 8 percent M₂O, and 9 to 15 percent RO, wherein, M is an alkali metal and wherein, R is an alkaline earth metal. In some embodiments, in the glass substrate in the PV module comprises, in mol %, 60 to 65 percent SiO₂, 8 to 12 percent Al₂O₃, 7 to 15 percent B₂O₃, 0.1 to 8 percent M₂O, 9 to 15 percent RO, and 0.01 to 0.4 percent SnO₂.

In some embodiments, the glass substrate in the PV device comprises about, in mol %, 20 to 70 percent SiO₂, 5 to 20 percent Al₂O₃, 0 to 15 percent B₂O₃, 0 to 1 percent M₂O, 0 to 10 percent MgO, 8 to 35 percent CaO, 0 to 16 percent SrO, 0 to 9 percent BaO, and 20 to 45 percent RO, wherein, M is an alkali metal and wherein, R is an alkaline earth metal.

In some embodiments, the glass substrate in the PV device comprises about, in mol %, 57 to 68 percent SiO₂, 5 to 12 percent Al₂O₃, 0 to 8 percent B₂O₃, 0 to 0.1 percent M₂O, 0 to 10 percent MgO, 8 to 28 percent CaO, 0 to 10 percent SrO, 0 to 9 percent BaO, and 21 to 32 percent RO, wherein, M is an alkali metal and wherein, R is an alkaline earth metal, and the glass has a coefficient of thermal expansion of from about 4.0 to about 6.0 ppm/° C. from 25 to 300° C.

In some embodiments, the glass substrate in the PV device comprises about, in mol %, 60 to 68 percent SiO₂, 8 to 11 percent Al₂O₃, 6 to 11 percent B₂O₃, 0 to 1 percent M₂O; 0 to 5 percent MgO, greater than 0 to 12 percent CaO, 1 to 12 percent SrO, 0 to 8 percent BaO, and 16 to 20 percent RO, wherein R is an alkaline earth metal, and M is an alkali metal.

Additional features and advantages will be set forth in the detailed description which follows, and in part will be readily apparent to those skilled in the art from the description or recognized by practicing the invention as described in the written description and claims hereof, as well as the appended drawings.

It is to be understood that both the foregoing general description and the following detailed description are merely exemplary of the invention, and are intended to provide an overview or framework for understanding the nature and character of the invention as it is claimed.

The accompanying drawings are included to provide a further understanding of the invention, and are incorporated in and constitute a part of this specification. The drawings illustrate one or more embodiment(s) of the invention and together with the description serve to explain the principles and operation of the invention.

BRIEF DESCRIPTION OF THE DRAWINGS

The invention can be understood from the following detailed description either alone or together with the accompanying drawing figures.

FIG. 1 is a graph of estimated liquidus viscosity.

FIG. 2 is an illustration of features of a photovoltaic device according to one embodiment.

FIG. 3 shows the measured residual in-plane bulk stress of CdTe film versus CTE of glass is represented with black markers and the black dashed line is the linear fit. The corresponding device efficiency is represented by the blue marker. The shaded area represents the CTE range of a CdTe film. The dash black line shows the residual stress in the CdTe film trends towards a minimum as the glass CTE approaches the CTE of the CdTe film in the shaded area. The corresponding efficiency data points show the best performance for the device film with the lowest residual stress magnitude. This suggests higher efficiencies can be obtained using a glass superstrate with a CTE that is matched to that of the CdTe film.

FIG. 4 is a graph of the CdTe film residual stress and corresponding efficiencies for devices fabricated using the close spaced sublimation process on glass substrates with varying CTE.

FIG. 5 is a graph of the efficiency and corresponding defect density as a function of the CdTe film residual stress for the same devices in FIG. 4.

DETAILED DESCRIPTION

Reference will now be made in detail to various embodiments of the invention. Wherever possible, the same reference numbers will be used throughout the drawings to refer to the same or like features.

In the following detailed description, numerous specific details may be set forth in order to provide a thorough understanding of embodiments of the invention. However, it will be clear to one skilled in the art when embodiments of the invention may be practiced without some or all of these specific details. In other instances, well-known features or processes may not be described in detail so as not to unnecessarily obscure the invention. In addition, like or identical reference numerals may be used to identify common or similar elements. Moreover, unless otherwise defined, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs. In case of conflict, the present specification, including the definitions herein, will control.

Although other methods and can be used in the practice or testing of the invention, certain suitable methods and materials are described herein.

Disclosed are materials, compounds, compositions, and components that can be used for, can be used in conjunction with, can be used in preparation for, or are embodiments of the disclosed method and compositions. These and other materials are disclosed herein, and it is understood that when combinations, subsets, interactions, groups, etc. of these materials are disclosed that while specific reference of each various individual and collective combinations and permutation of these compounds may not be explicitly disclosed, each is specifically contemplated and described herein.

Thus, if a class of substituents A, B, and C are disclosed as well as a class of substituents D, E, and F, and an example of a combination embodiment, A-D is disclosed, then each is individually and collectively contemplated. Thus, in this example, each of the combinations A-E, A-F, B-D, B-E, B-F, C-D, C-E, and C-F are specifically contemplated and should be considered disclosed from disclosure of A, B, and/or C; D, E, and/or F; and the example combination A-D. Likewise, any subset or combination of these is also specifically contemplated and disclosed. Thus, for example, the sub-group of A-E, B-F, and C-E are specifically contemplated and should be considered disclosed from disclosure of A, B, and/or C; D, E, and/or F; and the example combination A-D. This concept applies to all aspects of this disclosure including, but not limited to any components of the compositions and steps in methods of making and using the disclosed compositions. Thus, if there are a variety of additional steps that can be performed it is understood that each of these additional steps can be performed with any specific embodiment or combination of embodiments of the disclosed methods, and that each such combination is specifically contemplated and should be considered disclosed.

Moreover, where a range of numerical values is recited herein, comprising upper and lower values, unless otherwise stated in specific circumstances, the range is intended to include the endpoints thereof, and all integers and fractions within the range. It is not intended that the scope of the invention be limited to the specific values recited when defining a range. Further, when an amount, concentration, or other value or parameter is given as a range, one or more preferred ranges or a list of upper preferable values and lower preferable values, this is to be understood as specifically disclosing all ranges formed from any pair of any upper range limit or preferred value and any lower range limit or preferred value, regardless of whether such pairs are separately disclosed. Finally, when the term “about” is used in describing a value or an end-point of a range, the disclosure should be understood to include the specific value or end-point referred to.

As used herein, the term “about” means that amounts, sizes, formulations, parameters, and other quantities and characteristics are not and need not be exact, but may be approximate and/or larger or smaller, as desired, reflecting tolerances, conversion factors, rounding off, measurement error and the like, and other factors known to those of skill in the art. In general, an amount, size, formulation, parameter or other quantity or characteristic is “about” or “approximate” whether or not expressly stated to be such.

The term “or”, as used herein, is inclusive; more specifically, the phrase “A or B” means “A, B, or both A and B”. Exclusive “or” is designated herein by terms such as “either A or B” and “one of A or B”, for example.

The indefinite articles “a” and an are employed to describe elements and components of the invention. The use of these articles means that one or at least one of these elements or components is present. Although these articles are conventionally employed to signify that the modified noun is a singular noun, as used herein the articles “a” and an also include the plural, unless otherwise stated in specific instances. Similarly, the definite article “the”, as used herein, also signifies that the modified noun may be singular or plural, again unless otherwise stated in specific instances.

For the purposes of describing the embodiments, it is noted that reference herein to a variable being a “function” of a parameter or another variable is not intended to denote that the variable is exclusively a function of the listed parameter or variable. Rather, reference herein to a variable that is a “function” of a listed parameter is intended to be open ended such that the variable may be a function of a single parameter or a plurality of parameters.

It is noted that terms like “preferably,” “commonly,” and “typically,” when utilized herein, are not utilized to limit the scope of the claimed invention or to imply that certain features are critical, essential, or even important to the structure or function of the claimed invention. Rather, these terms are merely intended to identify particular aspects of an embodiment of the present disclosure or to emphasize alternative or additional features that may or may not be utilized in a particular embodiment of the present disclosure.

For the purposes of describing and defining the claimed invention it is noted that the terms “substantially” and “approximately” are utilized herein to represent the inherent degree of uncertainty that may be attributed to any quantitative comparison, value, measurement, or other representation. The terms “substantially” and “approximately” are also utilized herein to represent the degree by which a quantitative representation may vary from a stated reference without resulting in a change in the basic function of the subject matter at issue.

It is noted that one or more of the claims may utilize the term “wherein” as a transitional phrase. For the purposes of defining the present invention, it is noted that this term is introduced in the claims as an open-ended transitional phrase that is used to introduce a recitation of a series of characteristics of the structure and should be interpreted in like manner as the more commonly used open-ended preamble term “comprising.”

As a result of the raw materials and/or equipment used to produce the glass composition of the present invention, certain impurities or components that are not intentionally added, can be present in the final glass composition. Such materials are present in the glass composition in minor amounts and are referred to herein as “tramp materials.”

As used herein, a glass composition having 0 wt % of a compound is defined as meaning that the compound, molecule, or element was not purposefully added to the composition, but the composition may still comprise the compound, typically in tramp or trace amounts. Similarly, “sodium-free,” “alkali-free,” “potassium-free” or the like are defined to mean that the compound, molecule, or element was not purposefully added to the composition, but the composition may still comprise sodium, alkali, or potassium, but in approximately tramp or trace amounts.

It has been found that the CTE of the super/substrate glass for CdTe thin-film photovoltaic modules should match, or be as closely matched as possible, to the CTE of the semiconductor film so as to minimize the level of stress in said film and consequently optimize the efficiency of the photovoltaic module. The compositions described herein specifies a glass super/substrate having a CTE in the range that is optimum for minimizing the resultant stress in the semiconductor layers of CdTe devices and provide improved conversion efficiency in the resulting devices.

The terms “solar cell,” “photovoltaic cell,” “PV cell,” “solar module,” “photovoltaic module,” “PV module,” “solar device,” “photovoltaic device,” “PV device,” or “device,” as used herein, refer to any article that can convert light into electrical energy. Suitable solar cells include wafer-based solar cells (e.g., solar cells comprising materials selected from crystalline-Si (c-Si), ribbon Si, or multi-crystalline-Si (mc-Si)(also called polycrystalline Si), and mixtures thereof). A solar cell assembly can comprise one or a plurality of solar cells. The plurality of solar cells can be electrically interconnected or arranged in a flat plane. In addition, the solar cell assembly can further comprise conductive pastes or electrical wirings deposited upon the solar cells.

As used herein, the term “substrate” can be used to describe either a substrate or a superstrate depending on the configuration of the photovoltaic cell. For example, the substrate is a superstrate, if when assembled into a photovoltaic cell, it is on the light incident side of a photovoltaic cell. The superstrate can provide protection for the photovoltaic materials from impact and environmental degradation while allowing transmission of the appropriate wavelengths of the solar spectrum. Further, multiple photovoltaic cells can be arranged into a photovoltaic module.

As used herein, the term “adjacent” can be defined as being in close proximity. Adjacent structures may or may not be in physical contact with each other. Adjacent structures can have other layers and/or structures disposed between them.

As used herein, the term “planar” can be defined as having a substantially topographically flat surface.

Although exemplary numerical ranges are described in the embodiments, each of the ranges can include any numerical value including decimal places within the range including each of the ranges endpoints.

As used herein, multivalent components of the exemplary compositions are represented, for example, as Fe₂O₃, SnO₂, As₂O₅, Sb₂O₅. These materials are batched as said oxides but mixed valences or alternative valences could be used.

In the broadest terms, the glass compositions described here have a strain point of 600° C. or greater and a CTE that is matched to a CdTe thin film to be coated thereon. In some embodiments, “matched,” as used herein, mean the CTE of the glass substrate is equivalent to within ±2, ±1.5, ±1.0, ±0.75, ±0.5, or ±0.25 ppm/° C. of the CTE of a CdTe thin film to be coated thereon. In some embodiments, the CTE of the glass substrate is from about 4 ppm/° C. to about 8 ppm/° C., from about 4.5 ppm/° C. to about 8 ppm/° C., from about 4.5 ppm/° C. to about 7 ppm/° C., from about 4.5 ppm/° C. to about 6.5 ppm/° C., from about 5 ppm/° C. to about 7 ppm/° C., from about 5.5 ppm/° C. to about 6.5 ppm/° C., from about 4 ppm/° C. to about 7 ppm/° C., from about 4 ppm/° C. to about 6.5 ppm/° C., from about 5 ppm/° C. to about 8 ppm/° C., or from about 5.5 ppm/° C. to about 8 ppm/° C. In some embodiments, the CTE of the glass substrate is about 4, 4.5, 5, 5.5, 5.75, 6.0, 6.5, 7, 7.5, or 8 ppm/° C.

Accordingly, in one embodiment, the glass has a strain point of 600° C. or greater, for example, 620° C. or greater. In some embodiments, the glass has a coefficient of thermal expansion of 38×10⁻⁷ or greater, for example, 40×10⁻⁷ or greater, for example, 45×10⁻⁷ or greater.

The glass according to one embodiment can have a strain point of 620° C. or greater and/or a coefficient of thermal expansion of 45×10⁻⁷ or greater.

In some embodiments, the CTE of the CdTe thin film comprises an average value for a CdTe thin film. In some embodiments, the CTE of the CdTe thin film comprises a specific CTE value for the CdTe film which results from the composition, substrate, other components, manufacturing or deposition process.

A first aspect comprises a glass comprising, in mole percent, about:

-   -   20 to 70 percent SiO₂;     -   5 to 20 percent Al₂O₃;     -   0 to 15 percent B₂O₃;     -   0 to 1 percent M₂O;     -   0 to 10 percent MgO;     -   8 to 35 percent CaO;     -   0 to 16 percent SrO;     -   0 to 9 percent BaO; and     -   20 to 45 percent RO;         wherein, M is an alkali metal and wherein, R is an alkaline         earth metal.

In some embodiments, the glass comprises, in mole percent, about:

-   -   57 to 68 percent SiO₂;     -   5 to 12 percent Al₂O₃;     -   0 to 8 percent B₂O₃;     -   0 to 0.1 percent M₂O;     -   0 to 10 percent MgO;     -   8 to 28 percent CaO;     -   0 to 10 percent SrO;     -   0 to 9 percent BaO; and     -   21 to 32 percent RO;         wherein, M is an alkali metal and wherein, R is an alkaline         earth metal.

A second aspect comprises a glass comprising, in mole percent, about:

-   -   60 to 65 percent SiO₂;     -   8 to 12 percent Al₂O₃;     -   7 to 15 percent B₂O₃;     -   greater than 0 to 8 percent M₂O; and     -   9 to 15 percent RO;         wherein, M is an alkali metal and wherein, R is an alkaline         earth metal. According to another embodiment, the glass is         substantially free of BaO. For example, the content of BaO can         be 0.05 mole percent or less, for example, zero mole percent. In         another embodiment, the glass comprises 0.01 to 0.4 mole percent         SnO₂.

In some embodiment, the glass comprises, in mole percent, about:

-   -   61 to 64 percent SiO₂;     -   8 to 12 percent Al₂O₃;     -   9 to 15 percent B₂O₃;     -   greater than 0 to 4 percent M₂O; and     -   12 to 15 percent RO;         wherein, M is an alkali metal and wherein, R is an alkaline         earth metal.

In some embodiment, the glass comprises, in mole percent, about:

-   -   60 to 65 percent SiO₂;     -   8 to less than 10 percent Al₂O₃;     -   greater than 11 to 15 percent B₂O₃;     -   greater than 0 to less than 1 percent M₂O; and     -   9 to 15 percent RO;         wherein, M is an alkali metal and wherein, R is an alkaline         earth metal.

In some embodiment, the glass comprises, in mole percent, about:

-   -   60 to 65 percent SiO₂;     -   10 to 12 percent Al₂O₃;     -   7 to 11 percent B₂O₃;     -   1 to 8 percent M₂O; and     -   9 to 15 percent RO;         wherein, M is an alkali metal and wherein, R is an alkaline         earth metal.

In some embodiment, the glass comprises, in mole percent, about:

-   -   62 to 65 percent SiO₂;     -   10 to 12 percent Al₂O₃;     -   7 to 11 percent B₂O₃;     -   3 to 8 percent MgO;     -   3 to 10 percent CaO;     -   3 to 8 percent SrO; and     -   1 to 8 percent M₂O;         wherein, M is an alkali metal selected from K, Na, and         combinations thereof and wherein, CaO/(CaO+SrO) is from 0.4 to         1.

A third aspect comprises a glass comprising, in mole percent, about:

-   -   60 to 68 percent SiO₂;     -   8 to 11 percent Al₂O₃;     -   6 to 11 percent B₂O₃;     -   0 to 1 percent M₂O;     -   0 to 5 percent MgO;     -   greater than 0 to 12 percent CaO;     -   1 to 12 percent SrO;     -   0 to 8 percent BaO; and     -   16 to 20 percent RO;         wherein R is an alkaline earth metal, and M is an alkali metal.         In some embodiments, the M2O is from 0 to about 0.1 mole         percent.

In some embodiments, M is an alkali metal selected from Li, Na, K, Rb, Cs, and a combination thereof. In some embodiments, M is selected from Li, K, Cs, and a combination thereof. In one embodiment, R is selected from Mg, Ca, Sr, Ba, and a combination thereof. In some embodiments, R is selected from Mg, Ca, Sr, and a combination thereof.

SiO₂, an oxide involved in the formation of glass, functions to stabilize the networking structure of glass. In some embodiments, the glass composition comprises from about 20 to about 70 mol % SiO₂. In some embodiments, the glass composition comprises from about 57 to about 68 mol % SiO₂. In some embodiments, the glass composition can comprise from about 60 to about 68 mol % SiO₂. In some embodiments, the glass composition can comprise from about 60 to about 65 mol % SiO₂. In some embodiments, the glass composition can comprise from about 61 to about 64 mol % SiO₂. In some embodiments, the glass composition can comprise from about 62 to about 65 mol % SiO₂. In some embodiments, the glass composition can comprise from about 20 to about 70 mol %, about 20 to about 68 mol %, about 20 to about 65 mol %, about 20 to about 64 mol %, about 20 to 60 mol %, about 20 to 50 mol %, about 20 to about 40 mol %, about 20 mol % to about 30 mol %, about 30 to about 70 mol %, about 30 to about 68 mol %, about 30 to about 65 mol %, about 30 to about 64 mol %, about 30 to 60 mol %, about 30 to 50 mol %, about 30 to about 40 mol %, about 40 to about 70 mol %, about 40 to about 68 mol %, about 40 to about 65 mol %, about 40 to about 64 mol %, about 40 to 60 mol %, about 40 to 50 mol %, about 50 to about 70 mol %, about 50 to about 68 mol %, about 50 to about 65 mol %, about 50 to about 64 mol %, about 50 to 60 mol %, about 60 to about 70 mol %, about 60 to about 68 mol %, about 60 to about 65 mol %, about 60 to about 64 mol %, about 61 to about 70 mol %, about 61 to about 68 mol %, about 61 to about 65 mol %, or about 61 to about 64 mol %. In some embodiments, the glass composition comprises about 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, or 70 mol % SiO₂.

Al₂O₃ may provide for a) maintaining the lowest possible liquidus temperature, b) lowering the expansion coefficient, or c) enhancing the strain point. In some embodiments, the glass composition can comprise from about 5 to about 20 mol % Al₂O₃. In some embodiments, the glass composition can comprise from 5 to about 12 mol % Al₂O₃. In some embodiments, the glass composition can comprise from about 8 to about 12 mol % Al₂O₃. In some embodiments, the glass composition can comprise from about 8 to about 11 mol % Al₂O₃. In some embodiments, the glass composition can comprise from about 8 to about 10 mol % Al₂O₃. In some embodiments, the glass composition can comprise from about 10 to about 12 mol % Al₂O₃. In some embodiments, the glass can comprise from about 5 to about 20 mol %, about 5 to about 15 mol %, about 5 to about 12 mol %, about 5 to about 11 mol %, about 5 to about 10 mol %, about 8 to about 20 mol %, about 8 to about 15 mol %, about 8 to about 15 mol %, about 8 to about 12 mol %, about 8 to about 11 mol %, about 8 to about 10 mol %, about 10 to about 20 mol %, about 10 to about 15 mol %, about 10 to about 12 mol %, about 10 to about 11 mol %, or about 15 to about 20 mol % Al₂O₃. In some embodiments, the glass composition can comprise about 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, or 20 mol % Al₂O₃.

B₂O₃ can be used as a flux to soften glasses, making them easier to melt. B₂O₃ may also react with non-bridging oxygen atoms (NBOs), converting the NBOs to bridging oxygen atoms through the formation of BO₄ tetrahedra, which increases the toughness of the glass by minimizing the number of weak NBOs. B₂O₃ also lowers the hardness of the glass which, when coupled with the higher toughness, decreases the brittleness, thereby resulting in a mechanically durable glass, which can be advantageous for substrates used in photovoltaic applications. In some embodiments, the glass composition can comprise from 0 to about 15 mol % B₂O₃. In some embodiments, the glass composition can comprise from 0 to about 8 mol % B₂O₃. In some embodiments, the glass composition can comprise from about 7 to about 15 mol % B₂O₃. In some embodiments, the glass composition can comprise from about 9 to about 15 mol % B₂O₃. In some embodiments, the glass composition can comprise from about 11 to about 15 mol % B₂O₃. In some embodiments, the glass composition can comprise from about 7 to about 11 mol % B₂O₃. In some embodiments, the glass composition can comprise from about 6 to about 11 mol % B₂O₃. As mentioned above, the glasses, according some embodiments, comprise 7 to 15 mole percent, for example, 7 to 11 mole percent B₂O₃. In some embodiments, the glass composition can comprise from 0 to about 15 mol %, 0 to 12 mol %, 0 to 11 mol %, 0 to about 10 mol %, about 5 to about 15 mol %, about 5 to about 12 mol %, about 5 to about 11 mol %, about 5 to about 10 mol %, about 6 to about 15 mol %, about 6 to about 12 mol %, about 6 to about 11 mol %, about 6 to about 10 mol %, about 7 to about 15 mol %, about 7 to about 12 mol %, about 7 to about 11 mol %, about 7 to about 10 mol %, about 9 to about 15 mol %, about 9 to about 12 mol %, about 9 to about 11 mol %, about 9 to about 10 mol %, about 10 to about 15 mol %, about 10 to about 12 mol %, about 10 to about 11 mol %, about 11 to about 15 mol %, about 11 to about 12 mol %, or about 12 to about 15 mol %, B₂O₃. In some embodiments, the glass composition can comprise about 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, or 15 mol % B₂O₃.

Also as mentioned above, the glasses, according to some embodiments, 9 to 45 mole percent RO wherein, R is an alkaline earth metal. Since MgO, CaO and BaO are effective in decreasing the viscosity of glass at a higher temperature and enhancing the viscosity of glass at a lower temperature, they may be used for the improvement of the melting property and enhancement of the strain point. However, if excessive amounts of both MgO and CaO are used, there is an increasing trend toward phase separation and devitrification of the glass. As defined herein, RO comprises the mol % of MgO, CaO, SrO, and BaO. In some embodiments, the glass composition can comprise from 20 to about 45 mol % RO. In some embodiments, the glass composition can comprise from 21 to about 32 mol % RO. In some embodiments, the glass composition can comprise from 9 to about 15 mol % RO. In some embodiments, the glass composition can comprise from about 12 to about 15 mol % RO. In some embodiments, the glass composition can comprise from about 16 to about 20 mol % RO. In some embodiments, the glass composition can comprise from about 9 to about 45 mol %, about 9 to about 40 mol %, about 9 to about 35 mol %, about 9 to about 32 mol %, about 9 to about 30 mol %, about 9 to 25 mol %, about 9 to 20 mol %, about 9 to about 15 mol %, about 12 to about 45 mol %, about 12 to about 40 mol %, about 12 to about 35 mol %, about 12 to about 32 mol %, about 12 to about 30 mol %, about 12 to about 25 mol %, about 12 to about 20 mol %, about 12 to about 15 mol %, about 16 to about 45 mol %, about 16 to about 40 mol %, about 16 to about 35 mol %, about 16 to about 32 mol %, about 16 to about 25 mol %, about 16 to about 20 mol %, about 20 to about 45 mol %, about 20 to about 40 mol %, about 20 to about 35 mol %, about 20 to about 32 mol %, about 20 to about 30 mol %, about 20 to about 25 mol %, about 21 to about 45 mol %, about 21 to about 40 mol %, about 21 to about 35 mol %, about 21 to about 32 mol %, about 21 to about 30 mol %, about 21 to about 25 mol %, about 25 to about 45 mol %, about 25 to about 40 mol %, about 25 to about 35 mol %, about 25 to about 32 mol %, about 25 to about 30 mol %, about 30 to about 45 mol %, about 30 to about 40 mol %, about 30 to about 35 mol %, about 30 to about 32 mol %, about 32 to about 45 mol %, about 32 to about 40 mol %, about 32 to about 35 mol %, about 35 to about 45 mol %, about 35 to about 40 mol %, or about 40 to about 45 mol % RO. In some embodiments, the glass composition can comprise about 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, or 45 mol % RO.

In some embodiments, MgO can be added to the glass to reduce melting temperature, increase strain point, or adjust CTE when used in combination with other alkaline earth compounds (e.g., CaO, SrO, and BaO). It can disadvantageously lower CTE relative to other alkaline earths (e.g., CaO, SrO, BaO), and so other adjustments may be made to keep the CTE within the desired range. Examples of suitable adjustments include increase SrO at the expense of CaO, increasing alkali oxide concentration, and replacing a smaller alkali oxide (e.g., Na₂O) in whole or in part with a larger alkali oxide (e.g., K₂O). In some embodiments, the glass can comprise about 0 to about 10 mol % MgO. The glass can comprise, for example, 1 to 8 mole percent MgO. In some embodiments, the glass composition can comprise greater than 0 to about 5 mol % MgO. In some embodiments, the glass composition can comprise about 3 to about 8 mol % MgO. In some embodiments, the glass composition can comprise 0 to about 10 mol %, 0 to about 8 mol %, 0 to about 5 mol %, 0 to about 4 mol %, 0 to about 3 mol %, 0 to about 2 mol %, 0 to about 1 mol %, about 3 to about 10 mol %, about 3 to about 8 mol %, about 3 to about 5 mol %, about 5 to about 10 mol %, about 5 to about 8 wt, or about 7 to about 10 mol % MgO. In some embodiments, the glass compositions can comprise about 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, or 10 mol % MgO.

In some embodiments, CaO can contribute to higher strain point, lower density, and lower melting temperature. More generally, it can be acomponent of certain possible devitrification phases, particularly anorthite (CaAl₂Si₂O₈), and this phase has complete solid solution with an analogous sodium phase, albite (NaAlSi₃O₈). High Na and Ca contents taken alone can cause liquidus temperatures to be unacceptably high. However, CaO sources include limestone, an inexpensive material, so to the extent that volume and low cost are factors, in some embodiments it is can be useful to make the CaO content as high as can be reasonably achieved relative to other alkaline earth oxides. In some embodiments, the glass composition about from 0 to about 35 mol % CaO. In some embodiments, the glass composition about from 8 to about 35 mol % CaO. In some embodiments, the glass composition can comprise from 8 to about 28 mol % CaO. In some embodiments, the glass composition can comprise from 0 to about 12 mol % CaO. In some embodiments, the glass composition can comprise from >0 to about 12 mol % CaO. In some embodiments, the glass composition can comprise from about 3 to about 10 mol % CaO. In some embodiments, the glass composition can comprise from 0 to about 35 mol %, 0 to about 30 mol %, 0 to about 28 mol %, 0 to 25 mol %, 0 to 20 mol %, 0 to about 15 mol %, 0 to about 12 mol %, 0 to about 10 mol %, 0 to about 5 mol %, about 3 to about 35 mol %, about 3 to about 30 mol %, about 3 to about 28 mol %, about 3 to about 25 mol %, about 3 to about 20 mol %, about 3 to about 15 mol %, about 3 to about 12 mol %, about 3 to about 10 mol %, about 8 to about 35 mol %, about 8 to about 30 mol %, about 8 to about 28 mol %, about 8 to about 25 mol %, about 8 to about 20 mol %, about 8 to about 15 mol %, about 8 to about 12 mol %, about 8 to about 10 mol %, about 10 to about 35 mol %, about 10 to about 30 mol %, about 10 to about 25 mol %, about 10 to about 20 mol %, about 10 to about 15 mol %, about 10 to about 12 mol %, about 15 to about 35 mol %, about 15 to about 30 mol %, about 15 to about 28 mol %, about 15 to about 25 mol %, about 15 to about 20 mol %, about 20 to about 35 mol %, about 20 to about 30 mol %, about 20 to about 28 mol %, about 20 to about 28 mol %, about 25 to about 35 mol %, about 25 to about 30 mol %, about 25 to about 28 mol %, about 28 to about 35 mol %, about 28 to about 30 mol %, about 28 to about 30 mol %, or about 30 to about 35 mol % CaO. In some embodiments, the glass composition can comprise about 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, or 35 mol % CaO.

SrO can contribute to higher coefficient of thermal expansion, and the relative proportion of SrO and CaO can be manipulated to improve liquidus temperature, and thus liquidus viscosity. In some embodiments, the glass can comprise from 0 to about 16 mol % SrO. In some embodiments, the glass can comprise from 0 to about 10 mol % SrO. In some embodiments, the glass can comprise from 1 to about 12 mol % SrO. In other embodiments, the glass can comprise greater than 0 to about 16 mol % SrO. The glasses can comprise, in some embodiments, 0 to 5 mole percent SrO. In certain embodiments, the glass contains no deliberately batched SrO, though it may be present as a contaminant in other batch materials. In some embodiments, the glass composition can comprise from 0 to about 16 mol %, 0 to about 15 mol %, 0 to about 12 mol %, 0 to about 10 mol %, 0 to about 8 mol %, 0 to about 5 mol %, 0 to about 3 mol %, about 3 to about 16 mol %, about 3 to about 15 mol %, about 3 to about 12 mol %, about 3 to about 10 mol %, about 3 to about 8 mol %, about 3 to about 5 mol %, about 5 to about 16 mol %, about 5 to about 15 mol %, about 5 to about 12 mol %, about 5 to about 10 mol %, about 5 to about 8 mol %, about 8 to about 16 mol %, about 8 to about 15 mol %, about 8 to about 12 mol %, about 8 to about 10 mol %, about 10 to about 16 mol %, about 10 to about 15 mol %, about 10 to about 12 mol %, about 12 to about 16 mol %, about 12 to about 15 mol %, or about 15 to about 16 mol %, SrO. In some embodiments, the glass composition can comprise about 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, or 16 mol % SrO.

In some embodiments, the ratio CaO/(CaO+SrO) is advantageously kept between 0.4 and 1 to obtain a good balance between liquidus temperature (and hence liquidus viscosity) and melting temperature. For example, compositions with low alkali concentrations and high SrO concentrations have comparatively high melting temperatures, and if SrO is too high then liquidus temperatures may be elevated as well relative to glasses with more alkali oxide and lower SrO. However, for fixed concentrations of all other components, a local minimum in liquidus temperature is often obtained for CaO/(CaO+SrO) ratios between 0.4 and 1.

The glasses, according to some embodiments, comprise BaO. In certain embodiments, the glasses comprise less than 0.1 mole percent of BaO. In some embodiments, the glass composition can comprise from 0 to 10 mol % BaO. In some embodiments, the glass composition can comprise from 0 to 9 mol % BaO. In some embodiments, the glass composition can comprise from about greater than 0 to about 10 mol % BaO. In some embodiments, the glass composition can comprise from >0 to 8 mol % BaO. In some embodiments, the glass composition can comprise 0 to about 10 mol %, 0 to about 9 mol %, 0 to about 8 mol %, 0 to about 5 mol %, 0 to about 3 mol %, about 3 to about 10 mol %, about 3 to about 9 mol %, about 3 to about 8 mol %, about 3 to about 5 mol %, about 5 to about 10 mol %, about 5 to about 9 mol %, about 5 to about 8 mol %, about 8 to about 9 mol %, about 8 to about 10 mol %, or about 9 to about 10 mol % BaO. In some embodiments, the glass composition comprises about 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, or 10 mol % BaO

Generally, alkali cations can raise the CTE steeply, but also can lower the strain point and, depending upon how they are added, they can increase melting temperatures. The least effective alkali oxide for raising CTE is Li₂O, and the most effective alkali oxide for raising CTE is Cs₂O. In some embodiments, the glass composition can comprise from 0 to about 8 mol % M₂O, wherein M is one or more of the alkali cations Na, Li, K, Rb, and Cs. In some embodiments, the glass composition can comprise from greater than 0 to about 8 mol % M₂O. In some embodiments, the glass composition can comprise from greater than 0 to about 4 mol % M₂O. In some embodiments, the glass composition can comprise from greater than 0 to about 1 mol % M₂O. In some embodiments, M₂O can comprise only trace amounts of Na₂O. In some embodiments, M₂O can comprise only trace amounts of Na₂O and K₂O. In certain embodiments, the alkalis in question can be Li, K and Cs or combinations thereof. In some embodiments, the glass composition is substantially alkali free, for example, the content of alkali metal can be about 1 weight percent or less, 0.5 weight percent or less, 0.25 mol % or less, 0.1 mol % or less or 0.05 mol % or less. In some embodiments, M₂O is essentially 0 mol % or is only present in tramp amounts. The glass, according to some embodiments, can be substantially free of intentionally added alkali cations, compounds, or metals. In some embodiments, the glass composition can comprises from 0 to about 8 mol %, 0 to about 7 mol %, 0 to about 6 mol %, 0 to about 5 mol %, 0 to about 4 mol %, 0 to about 3 mol %, 0 to about 2 mol %, 0 to about 1 mol %, >0 to about 8 mol %, >0 to about 7 mol %, >0 to about 6 mol %, >0 to about 5 mol %, >0 to about 4 mol %, >0 to about 3 mol %, >0 to about 2 mol %, >0 to about 1 mol %, about 1 to about 8 mol %, about 1 to about 7 mol %, about 1 to about 6 mol %, about 1 to about 5 mol %, about 1 to about 4 mol %, about 1 to about 3 mol %, about 1 to about 2 mol %, about 2 to about 8 mol %, about 2 to about 7 mol %, about 2 to about 6 mol %, about 2 to about 5 mol %, about 2 to about 4 mol %, about 2 to about 3 mol %, about 3 to about 8 mol %, about 3 to about 7 mol %, about 3 to about 6 mol %, about 3 to about 5 mol %, about 3 to about 4 mol %, about 4 to about 8 mol %, about 4 to about 7 mol %, about 4 to about 6 mol %, about 4 to about 5 mol %, about 5 to about 8 mol %, about 5 to about 7 mol %, about 5 to about 6 mol %, about 6 to about 8 mol %, about 6 to about 7 mol %, or about 7 to about 8 mol % M₂O. In some embodiments, the glass compositions can comprise about 0, 1, 2, 3, 4, 5, 6, 7, or 8 mol % M₂O.

Sodium can be a mobile element or ion commonly used in standard window soda-lime glass compositions. The mobility of sodium can be problematic for the long-term reliability of PV modules since over the life of a PV module sodium can drift out of the glass under an applied field and migrate onto the active device layers of the module and degrade performance over time. In some embodiments, the glass is substantially sodium free. In some embodiments, the glass comprises 0.5 weight percent or less, 0.25 mol % or less, 0.1 mol % or less, about 0.05 mol % or less, or 0.001 mol % or less.

In alternative embodiments, sodium can be present from 0 to about 8 mol %. In some embodiments, the glass composition can comprises from 0 to about 8 mol %, 0 to about 7 mol %, 0 to about 6 mol %, 0 to about 5 mol %, 0 to about 4 mol %, 0 to about 3 mol %, 0 to about 2 mol %, 0 to about 1 mol %, >0 to about 8 mol %, >0 to about 7 mol %, >0 to about 6 mol %, >0 to about 5 mol %, >0 to about 4 mol %, >0 to about 3 mol %, >0 to about 2 mol %, >0 to about 1 mol %, about 1 to about 8 mol %, about 1 to about 7 mol %, about 1 to about 6 mol %, about 1 to about 5 mol %, about 1 to about 4 mol %, about 1 to about 3 mol %, about 1 to about 2 mol %, about 2 to about 8 mol %, about 2 to about 7 mol %, about 2 to about 6 mol %, about 2 to about 5 mol %, about 2 to about 4 mol %, about 2 to about 3 mol %, about 3 to about 8 mol %, about 3 to about 7 mol %, about 3 to about 6 mol %, about 3 to about 5 mol %, about 3 to about 4 mol %, about 4 to about 8 mol %, about 4 to about 7 mol %, about 4 to about 6 mol %, about 4 to about 5 mol %, about 5 to about 8 mol %, about 5 to about 7 mol %, about 5 to about 6 mol %, about 6 to about 8 mol %, about 6 to about 7 mol %, or about 7 to about 8 mol % Na₂O. In some embodiments, the glass compositions can comprise about 0, 1, 2, 3, 4, 5, 6, 7, or 8 mol % Na₂O.

As in the case of sodium, potassium is also an element or ion commonly found in standard window soda-lime glass compositions that has substantial mobility and may drift out of the glass. In some embodiments, the glass is substantially potassium free. In some embodiments, the glass comprises 0.5 weight percent or less, 0.25 mol % or less, 0.1 mol % or less, about 0.05 mol % or less, or 0.001 mol % or less.

In alternative embodiments, potassium can be present from 0 to about 8 mol %. In some embodiments, the glass can comprises from 0 to about 8 mol %, 0 to about 7 mol %, 0 to about 6 mol %, 0 to about 5 mol %, 0 to about 4 mol %, 0 to about 3 mol %, 0 to about 2 mol %, 0 to about 1 mol %, >0 to about 8 mol %, >0 to about 7 mol %, >0 to about 6 mol %, >0 to about 5 mol %, >0 to about 4 mol %, >0 to about 3 mol %, >0 to about 2 mol %, >0 to about 1 mol %, about 1 to about 8 mol %, about 1 to about 7 mol %, about 1 to about 6 mol %, about 1 to about 5 mol %, about 1 to about 4 mol %, about 1 to about 3 mol %, about 1 to about 2 mol %, about 2 to about 8 mol %, about 2 to about 7 mol %, about 2 to about 6 mol %, about 2 to about 5 mol %, about 2 to about 4 mol %, about 2 to about 3 mol %, about 3 to about 8 mol %, about 3 to about 7 mol %, about 3 to about 6 mol %, about 3 to about 5 mol %, about 3 to about 4 mol %, about 4 to about 8 mol %, about 4 to about 7 mol %, about 4 to about 6 mol %, about 4 to about 5 mol %, about 5 to about 8 mol %, about 5 to about 7 mol %, about 5 to about 6 mol %, about 6 to about 8 mol %, about 6 to about 7 mol %, or about 7 to about 8 mol % K₂O. In some embodiments, the glass compositions can comprise about 0, 1, 2, 3, 4, 5, 6, 7, or 8 mol % K₂O

In certain embodiments, the glass satisfies one or more of the following expressions:

1.0≦(M₂O+RO)/Al₂O₃≦2; and

0.4≦CaO/(CaO+SrO)≦1.

The ratio (M₂O+RO)/Al₂O₃ is advantageously greater than 1.0 to assist in removing bubbles from the glass during the initial melt step. This occurs because the alkali and alkaline earth metal oxides that are not involved in stabilizing Al₂O₃ are available to digest the silica source, typically a commercial sand. Surface area that might be sites for bubble nucleation and growth are therefore eliminated early in melting, and a comparatively bubble-free glass is obtained.

The glasses, according to some embodiments, can further comprise a variety of other components. For example, the glasses can comprise SnO₂, Fe₂O₃, MnO, CeO₂, As₂O₃, Sb₂O₃, Cl, Br, or combinations thereof. These materials can be added as fining agents (e.g., to facilitate removal of gaseous inclusions from melted batch materials used to produce the glass) and/or for other purposes. In certain embodiments, the glasses comprise SnO₂ (e.g., as calculated in mole percent on an oxide basis, 0.02 to 0.3 SnO₂, etc.) and Fe₂O₃ (e.g., as calculated in mole percent on an oxide basis, 0.005 to 0.08 Fe₂O₃, 0.01 to 0.08 Fe₂O₃, etc.). By way of illustration, in certain embodiments, the glasses comprise SnO₂ and Fe₂O₃, wherein, in mole percent on an oxide basis:

0.02≦SnO₂≦0.3; and

0.005≦Fe₂O₃≦0.08.

In certain embodiments, the glasses comprise less than 0.05% mole percent of Sb₂O₃, As₂O₃, or combinations thereof. In certain embodiments, the glasses comprise SnO₂, Fe₂O₃, CeO₂, Cl, Br, or combinations thereof and include less than 0.05% (e.g., less than 0.04%, less than 0.03%, less than 0.02%, less than 0.01%, etc.) mole percent of Sb₂O₃, As₂O₃, or combinations thereof. In certain embodiments, the glasses comprise SnO₂ and Fe₂O₃ and include less than 0.05 mole percent (e.g., less than 0.04 mole percent, less than 0.03 mole percent, less than 0.02 mole percent, less than 0.01 mole percent, etc.) of Sb₂O₃, As₂O₃, or combinations thereof. In certain embodiments, the glasses comprise SnO₂ and Fe₂O₃, wherein, in mole percent on an oxide basis:

0.02≦SnO₂≦0.3; and

0.005≦Fe₂O₃≦0.08,

and include less than 0.05% mole percent of Sb₂O₃, As₂O₃, or combinations thereof.

The glasses, according to some embodiments, (e.g., any of the glasses discussed above) can include F, Cl, or Br, for example, as in the case where the glasses comprise Cl and/or Br as fining agents. For example, the glass can comprise fluorine, chlorine, and/or bromine, wherein, as calculated in mole percent: F+Cl+Br≦0.4, such as where F+Cl+Br≦0.3, F+Cl+Br≦0.2, F+Cl+Br≦0.1, 0.001≦F+Cl+Br≦0.4, and/or 0.005≦F+Cl+Br≦0.4. By way of illustration, in certain embodiments, the glass comprises SnO₂ and Fe₂O₃ and, optionally, fluorine, chlorine, and/or bromine, such that, as calculated in mole percent on an oxide basis: 0.02≦SnO₂≦0.3, 0.005≦Fe₂O₃≦0.08, and F+Cl+Br≦0.4; and, in certain embodiments, the glass comprises SnO₂ and Fe₂O₃ and, optionally, Sb₂O₃, As₂O₃, fluorine, chlorine, and/or bromine, such that, as calculated in mole percent on an oxide basis, 0.02≦SnO₂≦0.3, 0.005≦Fe₂O₃≦0.08, and F+Cl+Br≦0.4, and such that the glass includes less than 0.05 mole percent (e.g., less than 0.04, less than 0.03, less than 0.02, less than 0.01, etc.) mole percent of Sb₂O₃, As₂O₃, or combinations thereof.

In some embodiments, the glass is substantially free of Sb₂O₃, As₂O₃, or combinations thereof, for example, the glass comprises 0.05 mole percent or less of Sb₂O₃ or As₂O₃ or a combination thereof. For example, the glass can comprise zero mole percent of Sb₂O₃ or As₂O₃ or a combination thereof.

The glass can further comprise 2 mole percent or less of TiO₂, MnO, ZnO, Nb₂O₅, MoO₃, Ta₂O₅, WO₃, ZrO₂, Y₂O₃, La₂O₃, HfO₂, CdO, SnO₂, Fe₂O₃, CeO₂, As₂O₃, Sb₂O₃, Cl, Br, P₂O₅, or combinations thereof.

The glasses, according to some embodiments, can further include contaminants as typically found in commercially prepared glass. In addition or alternatively, a variety of other oxides (e.g., TiO₂, MnO, ZnO, Nb₂O₅, MoO₃, Ta₂O₅, WO₃, ZrO₂, Y₂O₃, La₂O₃, P₂O₅, and the like) can be added, albeit with adjustments to other glass components, without compromising their melting or forming characteristics. In those cases where the glasses, according to some embodiments, further include such other oxide(s), each of such other oxides are typically present in an amount not exceeding 2 mole percent, and their total combined concentration is typically less than or equal to 5 mole percent, although higher amounts can be used so long as the amounts used do not place the composition outside of the ranges described above. The glasses, according to some embodiments, can also include various contaminants associated with batch materials and/or introduced into the glass by the melting, fining, and/or forming equipment used to produce the glass (e.g., ZrO₂).

The glass, according to some embodiments, is down-drawable; that is, the glass is capable of being formed into sheets using down-draw methods such as, but not limited to, fusion draw and slot draw methods that are known to those skilled in the glass fabrication arts. Such down-draw processes are used in the large-scale manufacture of flat glass, for example, display glass or ion-exchangeable glass.

The fusion draw process uses an isopipe that has a channel for accepting molten glass raw material. The channel has weirs that are open at the top along the length of the channel on both sides of the channel. When the channel fills with molten material, the molten glass overflows the weirs. Due to gravity, the molten glass flows down the outside surfaces of the isopipe. These outside surfaces extend down and inwardly so that they join at an edge below the drawing tank. The two flowing glass surfaces join at this edge to fuse and form a single flowing sheet. The fusion draw method offers the advantage that, since the two glass films flowing over the channel fuse together, neither outside surface of the resulting glass sheet comes in contact with any part of the apparatus. Thus, the surface properties are not affected by such contact.

The slot draw method is distinct from the fusion draw method. Here the molten raw material glass is provided to a conduit. The bottom of the conduit has an open slot that is wider in one dimension than the other dimension with a nozzle that extends the length of the slot. The molten glass flows through the slot/nozzle and is drawn downward as a continuous sheet there through and into an annealing region. Compared to the fusion draw process, the slot draw process provides a thinner sheet, as only a single sheet is drawn through the slot, rather than two sheets being fused together, as in the fusion down-draw process.

In order to be compatible with down-draw processes, the aluminoborosilicate glass described herein has a high liquidus viscosity. In one embodiment, the glass has a liquidus viscosity of 50,000 poise or greater, for example, 150,000 poise or greater, for example, greater than or equal to 500,000 poise. The liquidus viscosities of the glasses are very closely correlated with the difference between the liquidus temperature and the softening point. This correlation is indicated by line 10 in FIG. 1. For down draw processes, the glasses preferably have liquidus—softening point less than about 230° C., more preferably less than 200° C.

Alternatively, the glass, may be formed by other processes, such as rolling, float, etc.

According to one embodiment, the glass is ion exchanged in a salt bath comprising one or more salts of alkali ions. The glass can be ion exchanged to change its mechanical properties. For example, smaller alkali ions, such as lithium or sodium, can be ion-exchanged in a molten salt containing one or more larger alkali ions, such as sodium, potassium, rubidium or cesium. If performed at a temperature well below the strain point for sufficient time, a diffusion profile will form in which the larger alkali moves into the glass surface from the salt bath, and the smaller ion is moved from the interior of the glass into the salt bath. When the sample is removed, the surface will go under compression, producing enhanced toughness against damage. Such toughness may be desirable in instances where the glass will be exposed to adverse environmental conditions, such as photovoltaic grids exposed to hail. A large alkali already in the glass can also be exchanged for a smaller alkali in a salt bath. If this is performed at temperatures close to the strain point, and if the glass is removed and its surface rapidly reheated to high temperature and rapidly cooled, the surface of the glass will show considerable compressive stress introduced by thermal tempering. This will also provide protection against adverse environmental conditions. It will be clear to one skilled in the art that any monovalent cation can be exchanged for alkalis already in the glass, including copper, silver, thallium, etc., and these also provide attributes of potential value to end uses, such as introducing color for lighting or a layer of elevated refractive index for light trapping.

In one embodiment, the glass is in the form of a sheet. The glass in the form of a sheet can be thermally tempered.

Another aspect comprises a photovoltaic thin-film solar device comprising the glass compositions described above as the starting super/substrate. In the case of CdTe-based modules, the design typically comprises the glass substrate, a transparent conductive oxide (“TCO”) such at fluorine doped tin oxide (“FTO”) or cadmium stannate (“CTO”), followed by resistive transparent layer such as tin oxide (“SnO₂”) or zinc doped tin oxide (“ZTO”). Next to the resistive transparent layer is a n-type semiconductor such as CdS followed by a p-type semiconductor, such as CdTe.

In one embodiment, a photovoltaic device comprises the glass in the form of a sheet. The photovoltaic device can comprise more than one of the glass sheets, for example, as a substrate and/or as a superstrate. In one embodiment, the glass sheet is substantially planar. According to one embodiment, the glass sheet is transparent.

According to some embodiments, the glass sheet has a thickness of 4.0 mm or less, for example, 3.5 mm or less, for example, 3.2 mm or less, for example, 3.0 mm or less, for example, 2.5 mm or less, for example, 2.0 mm or less, for example, 1.9 mm or less, for example, 1.8 mm or less, for example, 1.5 mm or less, for example, 1.1 mm or less, for example, 0.5 mm to 2.0 mm, for example, 0.5 mm to 1.1 mm, for example, 0.7 mm to 1.1 mm. Although these are exemplary thicknesses, the glass sheet can have a thickness of any numerical value including decimal places in the range of from 0.1 mm up to and including 4.0 mm.

In another embodiment, the photovoltaic device comprising a glass sheet and an active photovoltaic medium adjacent to the glass sheet.

In one embodiment, the active photovoltaic medium comprises cadmium telluride.

Another embodiment, as shown in FIG. 2 features 200 of a photovoltaic device comprising a glass sheet 12 comprising any of the glass compositions previously described and an active photovoltaic medium 16 adjacent to the glass sheet, wherein the active photovoltaic medium comprises cadmium telluride. According to one embodiment, the glass sheet has a thickness as previously described. The photovoltaic device can further comprise a conductive layer 14, such as a transparent conductive oxide adjacent to or disposed on the glass sheet.

EXAMPLES Example 1

The following is an example of how to fabricate a sample of an exemplary glass, according to one embodiment of the invention, as shown in Table 1. This composition corresponds to composition number 46 shown in Table 7.

TABLE 1 Oxide mol % SiO₂ 63.5 Al₂O₃ 10.7 B₂O₃ 10.3 K₂O 2.3 MgO 4.4 CaO 5.2 SrO 3.5 SnO₂ 0.1 In some embodiments, the total does not add up to 100%, since certain tramp elements are present at non-negligible concentrations.

Batch materials, as shown in Table 2 were weighed and added to a 4 liter plastic container:

TABLE 2 Batch Batch Components weight sand 1713.42 alumina 486.27 boric acid 570.42 Potassium carbonate 143.05 Magnesia 78.62 Limestone 240.73 Strontium carbonate 234.23 10% SnO₂ and 90% sand 6.92

It should be appreciated that in the batch, limestone, depending on the source can contain tramp elements and/or vary amounts of one or more oxides, for example, MgO and/or BaO. The sand is advantageously beneficiated so that at least 80% by mass passes 60 mesh, for example 80 mesh, for example 100 mesh. The SnO₂ added, in this example, was pre-mixed with sand at a level of 10% by weight so as to ensure homogeneous mixing with the other components. The bottle containing the batch materials was mounted to a tumbler and the batch materials were mixed so as to make a homogeneous batch and to break up soft agglomerates. The mixed batch was transferred to a 1800 cc platinum crucible and placed into a high-temperature ceramic backer. The platinum in its backer was loaded into a glo-bar furnace idling at a temperature of 1550° C. After 6 hours, the crucible+backer was removed and the glass melt was poured onto a cold surface, such as a steel plate, to form a patty, and then transferred to an annealer held at a temperature of 670° C. The glass patty was held at the annealer temperature for 2 hours, then cooled at a rate of 1° C. per minute to room temperature.

Tables 3-13 show exemplary glasses, according to embodiments of the invention, and made according to the above example. Properties data for some glasses are also shown in Tables 3-13.

In view of its low liquidus temperature of 940° C. and, hence, its extremely high liquidus viscosity in excess of 5,000,000 poise, glass 49, shown in Table 8 is an advantageous glass for applications, such as glass for photovoltaics. The exemplary glasses shown in Table 8 comprise, in mole percent:

-   -   62 to 64 percent SiO₂;     -   8 to 12 percent Al₂O₃;     -   9 to 15 percent B₂O₃;     -   greater than 0 to 4 percent M₂O; and     -   12 to 15 percent RO;         wherein, M is an alkali metal and wherein, R is an alkaline         earth metal.

Further, the glasses shown in Table 8 have anneal points ≧640° C., thermal expansion coefficients (CTE) of 40-50×10⁻⁷/° C., 200 poise temperatures of ≦1550° C., and liquidus viscosities of ≧500,000 poise. Liquidus viscosity may be dependent on the K₂O content, for example, exemplary glass 49 has a maximum value in excess of 5,000,000 poise for an intermediate K₂O content when compared to exemplary glasses 48, 50, and 51.

TABLE 3 Glass 1 2 3 4 5 Weight Percent SiO₂ 58.11 59.14 59.01 58.88 58.35 Al₂O₃ 17.76 18.07 18.03 17.99 17.82 B₂O₃ 9.79 9.96 9.94 9.92 9.82 MgO 3.26 4.45 3.88 3.31 3.27 CaO 4.03 4.10 4.87 5.64 4.04 SrO 2.85 0 0 0 0 BaO 0 0 0 0 0 Na₂O 3.98 4.05 4.04 4.03 3.99 K₂O 0 0 0 0 2.60 SnO₂ 0.23 0.23 0.23 0.23 0.12 Fe₂O₃ 0 0 0 0 0 total 100.01 100 100 100 100.01 Mole Percent SiO₂ 63.3 63.3 63.3 63.3 63.35 Al₂O₃ 11.4 11.4 11.4 11.4 11.4 B₂O₃ 9.2 9.2 9.2 9.2 9.2 MgO 5.3 7.1 6.2 5.3 5.3 CaO 4.7 4.7 5.6 6.5 4.7 SrO 1.8 0 0 0 0 BaO 0 0 0 0 0 Na₂O 4.2 4.2 4.2 4.2 4.2 K₂O 0 0 0 0 1.8 SnO₂ 0.1 0.1 0.1 0.1 0.05 Fe₂O₃ 0 0 0 0 0 total 100 100 100 100 100 Properties strain 593 598 606 597 588 anneal 642 647 656 646 638 softening point 867 868 882 874 881 CTE 44.9 44 43.5 46.4 50.1 density 2.447 2.332 2.414 2.422 2.393 Viscosity A −2.2233 −2.5584 B 5556.58 6588.87 To 305.47 220.27 T @ 200 p 1533.625 1576.164 T @ 35 kP 1126.554 1147.957 T @ 250 kP 1034.561 1048.398 T(200 P) − T(35 kP) 407.071 428.206 Resistivity A 3.0838 3.9616 B 1183.49 4266.54 To 2156.83 3061.95 R @ 200 p 15.30245 12.30353 Liquidus air 1070 1090 1065 1060 995 internal 1060 1080 1060 1050 980 Pt 1040 1050 1030 1040 975 phase Albite Albite Albite Albite Albite Liquidus viscosity 173742.1 1300909 Int liq - soft 193 212 178 176 99 estimated 107951.5 64408.99 168454.9 179256.1 4244242 liquidus viscosity Glass 6 7 8 9 Weight Percent SiO₂ 58.40 58.54 58.74 58.56 Al₂O₃ 17.83 17.88 17.94 17.88 B₂O₃ 9.83 9.85 9.88 9.85 MgO 3.28 3.91 4.54 3.62 CaO 4.90 4.05 4.07 4.46 SrO 0 0 0 0 BaO 0 0 0 0 Na₂O 3.04 3.05 2.10 3.34 K₂O 2.60 2.61 2.62 2.17 SnO₂ 0.12 0.12 0.12 0.12 Fe₂O₃ 0 0 0 0 total 100 100.01 100.01 100 Mole Percent SiO₂ 63.35 63.35 63.35 63.35 Al₂O₃ 11.4 11.4 11.4 11.4 B₂O₃ 9.2 9.2 9.2 9.2 MgO 5.3 6.3 7.3 5.83 CaO 5.7 4.7 4.7 5.17 SrO 0 0 0 0 BaO 0 0 0 0 Na₂O 3.2 3.2 2.2 3.5 K₂O 1.8 1.8 1.8 1.5 SnO₂ 0.05 0.05 0.05 0.05 Fe₂O₃ 0 0 0 0 total 100 100 100 100 Properties strain 592 601 613 594 anneal 643 652 663 646 softening point 885 890 901 883 CTE 47.8 47 43.7 47.2 density 2.402 2.401 2.399 2.401 Viscosity A B To T @ 200 p T @ 35 kP T @ 250 kP T(200 P) − T(35 kP) Resistivity A B To R @ 200 p Liquidus air 1050 1040 1115 1030 internal 1040 1030 1105 1020 Pt 1020 1015 1075 1000 phase Albite Albite Albite Albite Liquidus viscosity Int liq - soft 155 140 204 137 estimated 360553.2 631087.4 79584.37 710936.1 liquidus viscosity

TABLE 4 Glass 10 11 12 13 14 Weight Percent SiO₂ 58.78 57.16 57.49 57.83 58.17 Al₂O₃ 17.95 17.46 17.56 17.66 17.76 B₂O₃ 9.89 9.62 9.67 9.73 9.79 MgO 3.96 3.21 3.48 3.76 4.04 CaO 4.88 3.96 4.34 4.72 5.11 SrO 0 0 0 0 0 BaO 0 0 0 0 0 Na₂O 2.68 0 0 0 0 K₂O 1.75 8.49 7.34 6.18 5.01 SnO₂ 0.12 0.11 0.11 0.11 0.12 Fe₂O₃ 0 0 0 0 0 total 100.01 100.01 99.99 99.99 100 Mole Percent SiO₂ 63.35 63.35 63.35 63.35 63.35 Al₂O₃ 11.40 11.40 11.40 11.40 11.40 B₂O₃ 9.20 9.20 9.20 9.20 9.20 MgO 6.36 5.30 5.72 6.14 6.56 CaO 5.64 4.70 5.12 5.54 5.96 SrO 0 0 0 0 0 BaO 0 0 0 0 0 Na₂O 2.80 0 0 0 0 K₂O 1.20 6.00 5.16 4.32 3.48 SnO₂ 0.05 0.05 0.05 0.05 0.05 Fe₂O₃ 0 0 0 0 0 total 100 100 100 100 100 Properties strain 604 608 621 624 632 anneal 655 661 674 675 685 softening point 885 914 911 916 925 CTE 44.5 52.1 48.9 45.6 44.1 density 2.411 2.382 2.389 2.393 2.397 Viscosity A −2.7798 −2.7896 B 6788.52 6506.53 To 263.53 291.74 T @ 200 p 1599.635 1569.878 T @ 35 kP 1190.434 1178.954 T @ 250 kP 1093.652 1086.427 T(200 P) − T(35 kP) 409.2009 390.9249 Resistivity A −2.6974 −3.1433 B 7362.61 7835.22 To −175.21 −98.68 R @ 200 p 28.24312 35.68633 Liquidus air 1040 990 980 1030 1070 internal 1030 980 970 1015 1065 Pt 1005 965 960 1000 1050 phase Albite Orthoclase Orthoclase Cordierite Cordierite Liquidus viscosity 1794130.5 421516.23 Int liq - soft 145 66 59 99 140 estimated 520319.01 39473174.9 73132031.9 4244242 631087.4 liquidus viscosity Glass 15 16 17 18 19 Weight Percent SiO₂ 58.52 58.87 58.17 58.33 58.51 Al₂O₃ 17.87 17.98 17.76 17.81 17.87 B₂O₃ 9.85 9.91 9.79 9.82 9.84 MgO 4.33 4.61 4.04 4.05 4.06 CaO 5.50 5.90 5.11 5.54 5.99 SrO 0 0 0 0 0 BaO 0 0 0 0 0 Na₂O 0 0 0 0 0 K₂O 3.82 2.62 5.01 4.33 3.62 SnO₂ 0.12 0.12 0.12 0.12 0.12 Fe₂O₃ 0 0 0 0 0 total 100.01 100.01 100 100 100.01 Mole Percent SiO₂ 63.35 63.35 63.35 63.35 63.35 Al₂O₃ 11.40 11.40 11.40 11.40 11.40 B₂O₃ 9.20 9.20 9.20 9.20 9.20 MgO 6.98 7.40 6.56 6.55 6.55 CaO 6.38 6.80 5.96 6.45 6.95 SrO 0 0 0 0 0 BaO 0 0 0 0 0 Na₂O 0 0 0 0 0 K₂O 2.64 1.80 3.48 3.00 2.50 SnO₂ 0.05 0.05 0.05 0.05 0.05 Fe₂O₃ 0 0 0 0 0 total 100 100 100 100 100 Properties strain 631 639 630 630 635 anneal 683 689 683 682 687 softening point 914 913 921 918 922 CTE 41.5 39.6 43.3 41.6 40.4 density 2.412 2.43 2.4 2.404 2.408 Viscosity A B To T @ 200 p T @ 35 kP T @ 250 kP T(200 P) − T(35 kP) Resistivity A B To R @ 200 p Liquidus air 1110 1135 1085 1070 1075 internal 1100 1125 1070 1065 1060 Pt 1080 1105 1060 1050 1045 phase Cordierite Cordierite Cordierite Cordierite Cordierite Liquidus viscosity Int liq - soft 186 212 149 147 138 estimated 132273.398 64408.987 447990.94 482556.71 683059.804 liquidus viscosity

TABLE 5 Glass 20 21 22 23 24 Weight Percent SiO₂ 57.49 57.65 57.82 58.47 57.78 Al₂O₃ 17.55 17.6 17.65 17.86 17.64 B₂O₃ 10.85 10.88 10.91 9.84 10.9 MgO 4 4 4.02 4.06 4.02 CaO 5.04 5.48 5.92 5.99 5.92 SrO 0 0 0 0 0 BaO 0 0 0 0 0 Na₂O 0 0 0 0 0 K₂O 4.95 4.28 3.57 3.62 3.57 SnO₂ 0.12 0.12 0.12 0.16 0.16 Fe₂O₃ 0 0 0 0 0 total 100 100.01 100.01 100 99.99 Mole Percent SiO₂ 62.65 62.65 62.65 63.33 62.63 Al₂O₃ 11.27 11.27 11.27 11.40 11.27 B₂O₃ 10.20 10.20 10.20 9.20 10.20 MgO 6.50 6.48 6.49 6.55 6.49 CaO 5.89 6.38 6.87 6.95 6.87 SrO 0 0 0 0 0 BaO 0 0 0 0 0 Na₂O 0 0 0 0 0 K₂O 3.44 2.97 2.47 2.50 2.47 SnO₂ 0.05 0.05 0.05 0.07 0.07 Fe₂O₃ 100 100 100 100 100 total Properties strain 623 630 632 637 630 anneal 673 680 682 688 680 softening point 916 913 914 922 918 CTE 43.7 42.2 40.3 41.1 41 density 2.394 2.395 2.401 2.411 2.405 Viscosity A −2.826 −2.7517 B 6611.93 6318.79 To 284.22 304.73 T @ 200 p 1573.842 1555.299 T @ 35 kP 1181.353 1170.820 T @ 250 kP 1088.206 1080.076 T(200 P) − T(35 kP) 392.489 384.480 Resistivity A −4.9927 −2.6521 B 13663.94 5980.3 To −556.65 129.56 R @ 200 p 26.35204 34.86784 Liquidus air 1040 1050 1065 1060 1040 internal 1035 1045 1050 1055 1030 Pt 1020 1025 1030 1040 1020 phase Cordierite Cordierite Cordierite Cordierite Cordierite Liquidus viscosity 565239.4 913330.2 Int liq - soft 119 132 136 133 112 estimated 1542714 872242.2 740167 836776.9 2153251 liquidus viscosity Glass 25 26 27 28 Weight Percent SiO₂ 58.61 57.36 56.92 58.14 Al₂O₃ 17.27 17.51 17.39 17.03 B₂O₃ 9.86 10.82 10.74 10.45 MgO 4 3.98 3.96 3.85 CaO 6.3 6.61 7.31 5.67 SrO 0 0 0 0 BaO 0 0 0 0 Na₂O 0 0 0 0 K₂O 3.84 3.55 3.52 4.69 SnO₂ 0.12 0.16 0.16 0.16 Fe₂O₃ 0 0 0 0 total 100 99.99 100 99.99 Mole Percent SiO₂ 63.35 62.10 61.55 63.15 Al₂O₃ 11.00 11.17 11.08 10.90 B₂O₃ 9.20 10.11 10.02 9.8 MgO 6.45 6.43 6.38 6.23 CaO 7.30 7.67 8.47 6.60 SrO 0 0 0 0 BaO 0 0 0 0 Na₂O 0 0 0 0 K₂O 2.65 2.45 2.43 3.25 SnO₂ 0.05 0.07 0.07 0.07 Fe₂O₃ 100 100 100 100 total Properties strain 633 628 630 624 anneal 683 677 677 674 softening point 918 907 901 911 CTE 41.9 42 43.2 44.1 density 2.412 2.414 2.424 2.404 Viscosity A −2.6477 −3.0308 −2.8977 −3.0702 B 6160.22 6642.81 6307 6906.16 To 314.38 271.68 291.74 253.21 T @ 200 p 1559.188 1517.558 1504.921 1538.979 T @ 35 kP 1170.945 1148.634 1139.254 1160.212 T @ 250 kP 1080.039 1059.794 1052.019 1068.756 T(200 P) − T(35 kP) 388.243 368.924 365.667 378.766 Resistivity A −2.6628 −2.9715 −2.7071 −3.4632 B 6172.99 6668.56 5845.08 8147.16 To 100.8 50.95 149.34 −101.76 R @ 200 p 37.14907 37.62072 40.24979 31.79388 Liquidus air 1065 1060 1025 1010 internal 1050 1050 1015 1000 Pt 1040 1030 1000 990 phase Anorthite Anorthite Anorthite Anorthite Liquidus viscosity 532706.2 319158 664567.2 1505199 Int liq - soft 132 143 114 89 estimated 872242.2 561623.8 1953516 7623399 liquidus viscosity

TABLE 6 Glass 29 30 31 32 33 34 35 36 37 38 Weight SiO₂ 56.19 56.33 56.46 56.6 56.72 56.48 57.32 58.17 57.29 56.92 Percent Al₂O₃ 17.45 17.01 16.56 16.11 15.66 17.77 17.52 17.27 17.03 16.63 B₂O₃ 11.27 10.63 9.98 9.33 8.68 11.17 9.70 8.21 9.26 9.38 MgO 2.78 2.61 2.43 2.26 2.08 2.76 2.39 2.01 2.27 2.29 CaO 4.62 4.36 4.10 3.84 3.58 4.57 3.94 3.31 3.77 3.84 SrO 5.83 5.52 5.20 4.89 4.57 5.76 5.00 4.23 4.79 4.88 BaO 0 0 0 0 0 0 0 0 0 0 Na₂O 1.68 3.37 5.06 6.77 8.48 1.30 3.92 6.56 5.39 5.86 K₂O 0 0 0 0 0 0 0 0 0 0 SnO₂ 0.18 0.18 0.21 0.21 0.23 0.18 0.20 0.23 0.21 0.21 Fe₂O₃ 0 0 0 0 0 0 0 0 0 0 total 100 100.01 100 100.01 100 99.99 99.99 99.99 100.01 100.01 Mole SiO₂ 62.18 62.16 62.14 62.12 62.10 62.56 63.28 64.00 63.08 62.60 Percent Al₂O₃ 11.38 11.06 10.74 10.42 10.10 11.60 11.40 11.20 11.05 10.78 B₂O₃ 10.76 10.12 9.48 8.84 8.20 10.68 9.24 7.80 8.80 8.90 MgO 4.58 4.29 3.99 3.70 3.40 4.56 3.93 3.30 3.72 3.75 CaO 5.48 5.16 4.84 4.52 4.20 5.42 4.66 3.90 4.45 4.52 SrO 3.74 3.53 3.32 3.11 2.90 3.70 3.20 2.70 3.06 3.11 BaO 0 0 0 0 0 0 0 0 0 0 Na₂O 1.80 3.60 5.40 7.20 9.00 1.40 4.20 7.00 5.75 6.25 K₂O 0 0 0 0 0 0 0 0 0 0 SnO₂ 0.08 0.08 0.09 0.09 0.10 0.08 0.09 0.10 0.09 0.09 Fe₂O₃ 0 0 0 0 0 0 0 0 0 0 total 100 100 100 100 100 100 100 100 100 100 Proper- strain 611 590 578 565 620 589 577 577 576 ties anneal 659 636 622 607 670 635 623 625 621 softening 887.1 856.5 831.1 807.2 780 899.5 866.3 850.5 843 836.1 point CTE 41.6 47.7 53.9 59.6 40.4 48.1 56.6 52.8 55.4 density 2.478 2.48 2.492 2.494 2.501 2.472 2.467 2.463 2.472 2.478 Viscos- A −2.475 −2.209 −2.175 −2.086 −1.813 −2.817 −2.501 −1.845 ity B 5764.2 5523.2 5563.1 5506.2 4988.5 6843.6 6402.1 5180.5 To 306 290.2 258.9 231 242.7 193.3 197.4 272  200 1512.9 1514.85 1501.76 1486.11 1455.26 1530.46 1530.61 1521.51  3000 1274.43 1261.55 1243.15 1220.77 1185.68 1280.6 1268.32 1245.39 30000 1135.13 1116.27 1095.19 1069.96 1035.77 1131.54 1114.85 1091.42 50000 1109.49 1089.74 1068.2 1042.53 1008.75 1103.84 1086.58 1063.64 Liquidus internal 1010 1025 1040 1020 980 1030 1020 1070 1010 1040 Liquidus 516159.7 203050.1 88539.17 78110.11 89722.76 238527.3 79513.84 viscosity Int liq - 122.9 168.5 208.9 212.8 200 130.5 153.7 219.5 167 203.9 soft

TABLE 7 Glass 39 40 41 42 43 44 45 46 47 Weight SiO₂ 56.76 57.00 57.33 57.72 58.11 59.01 56.88 57.06 57.30 Percent Al₂O₃ 17.19 16.95 17.52 17.64 17.76 15.66 17.09 16.32 17.52 B₂O₃ 10.19 9.6 9.66 9.72 9.79 9.84 10.20 10.72 9.70 MgO 2.50 2.35 2.37 2.81 3.26 2.45 2.56 2.65 2.39 CaO 4.17 3.92 3.97 4.00 4.03 4.01 4.15 4.36 3.94 SrO 5.24 4.98 5.00 3.93 2.85 5.04 5.16 5.42 5.00 BaO 0 0 0 0 0 0 0 0 0 Na₂O 3.74 4.99 3.92 3.95 3.98 3.77 3.74 0 3.92 K₂O 0 0 0 0 0 0 0 3.24 0 SnO₂ 0.20 0.20 0.23 0.23 0.23 0.23 0.23 0.23 0.23 Fe₂O₃ 0 0 0 0 0 0 0 0 0 total 99.99 99.99 100 100 100.01 100.01 100.01 100 100 Mole SiO₂ 62.63 62.78 63.3 63.3 63.30 64.6 62.7 63.50 63.28 Percent Al₂O₃ 11.18 11.00 11.40 11.40 11.40 10.10 11.10 10.70 11.40 B₂O₃ 9.70 9.13 9.20 9.20 9.20 9.30 9.70 10.30 9.24 MgO 4.12 3.86 3.90 4.60 5.30 4.00 4.20 4.40 3.93 CaO 4.93 4.63 4.70 4.70 4.70 4.70 4.90 5.20 4.66 SrO 3.35 3.18 3.20 2.50 1.80 3.20 3.30 3.50 3.20 BaO 0 0 0 0 0 0 0 0 0 Na₂O 4.00 5.33 4.20 4.20 4.20 4.00 4.00 0.00 4.20 K₂O 0 0 0 0 0 0 0 2.3 0 SnO₂ 0.09 0.09 0.10 0.10 0.10 0.10 0.10 0.10 0.10 Fe₂O₃ 0 0 0 0 0 0 0 0 0 total Properties strain 589 578 596 597 596 590 593 619 597 anneal 638 626 643 644 645 637 640 669 645 softening point 858.5 843.2 867.6 867 876.9 859.5 858.5 898 873 CTE 48.4 51.7 48.1 47.3 46.1 47.6 48 44.2 47.2 density 2.477 2.474 2.475 2.466 2.451 2.472 2.476 2.465 2.466 Viscosity A −2.549 −2.625 −2.625 −2.567 B 6218.5 6434.5 6434.5 6097.1 To 233.8 223.8 223.8 303.3  200 1515.96 1530.02 1530.02 1555.78  3000 1265.72 1278.27 1278.27 1312.07 30000 1118.85 1129.8 1129.8 1168.86 50000 1091.76 1102.35 1102.35 1142.43 Liquidus internal 1045 1040 1095 1080 1060 1015 1060 1050 1065 Liquidus 130859 181336.2 321798.1 396638.1 viscosity Int liq - soft 186.5 196.8 227.4 213 183.1 155.5 201.5 152 192

TABLE 8 Glass 48 49 50 51 Mole Percent SiO₂ 63 62.95 62.9 62.85 Al₂O₃ 11 10.3 9.65 9 B₂O₃ 10.2 11.6 13.05 14.5 MgO 5.5 4.13 2.75 1.38 CaO 6.1 4.6 3.05 1.53 SrO 1.8 1.43 1.05 1.68 BaO 0 3.1 6.15 9.22 K₂O 2.4 1.8 1.2 0.6 SnO₂ 0.1 0.1 0.1 0.1 Weight SiO₂ 57.2 54.9 52.9 51 Percent Al₂O₃ 16.9 15.3 13.8 12.4 B₂O₃ 10.7 11.7 12.7 13.6 MgO 3.34 2.42 1.55 0.75 CaO 5.17 3.74 2.4 1.16 SrO 2.81 2.16 1.53 0.95 BaO 0 6.91 13.2 19.1 K₂O 3.41 2.47 1.58 0.76 SnO₂ 0.23 0.22 0.21 0.2 Properties strain 628 609 603 598 anneal 678 659 651 644 softening 909 890 876 858 CTE 42.8 43.9 45.4 46 Density 2.44 2.516 2.606 2.677 Viscosity 200 1529 1525 1528 Internal 1020 940 980 980 Liquidus Liquidus 822,000 5,233,000 1,100,000 Viscosity

TABLE 9 Example Mol % 52 53 54 55 56 57 58 59 MgO 2.1 2.1 2 2 2.2 2.35 1.9 CaO 21.2 20.6 20.1 19.85 21.65 13.2 25.6 20.8 SrO 8.7 BaO 2.1 2.1 2 2 2.2 2.35 1.9 RO 25.4 24.8 24.1 23.85 26.05 21.9 30.3 24.6 B₂O₃ 2.5 5 7.5 8 Al₂O₃ 8.8 8.6 8.4 8.25 6.05 10.1 11.7 9.4 SiO₂ 63.2 61.5 59.9 67.8 67.8 59.9 57.9 65.9 SnO₂ 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 T_(str) 676 ~660 643 711 699 648 710 715 α 52.8 ~52.5 52.2 50.4 54.6 50.4 57.5 50.3 ρ 2.674 ~2.66 2.64 2.652 2.675 2.696 2.771 2.664 T_(liq) 1120 1150 1135 1190 η_(liq) (kP) 5.4 T₂₀₀ 1360

TABLE 10 Example Mol % 59 60 61 62 63 64 65 66 MgO 5 5 10 2.9 8.7 5.2 8.5 CaO 24 21 18 21 32.1 8.7 10.45 8.5 SrO 16 14 12 14 5.2 BaO 2.9 8.65 5.2 8.4 ZnO 5 RO 45 40 40 40 37.9 26.05 26.05 25.4 B₂O₃ 15 15 15 15 2.5 Al₂O₃ 20 20 20 20 14.6 9.05 9.05 8.8 SiO₂ 20 25 25 25 47.4 64.8 64.8 63.2 SnO₂ 0.1 0.1 0.1 0.1 T_(str) 619 620 621 606 ~700 704 703 ~680 α 73.7 70 67.3 69.9 ~66 52.4 53.5 ~52 ρ 2.885 2.865 2.853 ~2.84 T_(liq) 1130 η_(liq) (kP) T₂₀₀

TABLE 11 Example Mol % 67 68 69 70 71 72 73 74 MgO 8.3 8.05 5.1 4.95 4.8 2.7 2.6 4.1 CaO 8.3 8.05 10.15 9.9 9.6 2.9 2.0 9.9 SrO 5.1 4.95 4.8 11.8 9.6 3.3 BaO 8.2 8 5.1 4.95 4.8 0.7 3.6 2.2 ZnO RO 24.7 24.1 25.4 24.7 24.1 18.0 17.7 19.4 B₂O₃ 5 7.5 2.5 5 7.5 9.0 7.5 9.7 Al₂O₃ 8.6 8.4 8.8 8.6 8.4 9.6 9.3 10.0 SiO₂ 61.6 59.9 63.2 61.6 59.9 63.3 65.4 60.8 SnO₂ 0.1 0.1 0.1 0.1 0.1 0.10 0.10 0.10 T_(str) ~655 633 ~680 ~660 639 645 649 639 α ~51.5 51 ~53 ~53 53.1 46.2 46.5 46.5 ρ ~2.82 2.803 ~2.82 ~2.80 2.766 2.70 2.75 2.70 T_(liq) 1125 1080 1135 1080 1140 1130 1110 1045 η_(liq) (kP) 25.1 40.2 T₂₀₀ 1383 1420

TABLE 12 Example Mol % 75 76 77 78 79 80 81 82 MgO 1.8 0 2.0 1.98 1.97 2.5 3.5 4.5 CaO 11.0 10.0 9.0 1.3 0.8 7.0 5.5 4.5 SrO 2.9 9.0 8.0 11.9 11.5 1.5 2.0 2.0 BaO 3.3 0 0 2.0 4.0 7.0 7.0 7.0 ZnO RO 19.0 19.0 19.0 17.2 18.3 18.0 18.0 18.0 B₂O₃ 10.7 8.0 8.0 6.4 6.4 9.0 9.0 9.0 Al₂O₃ 8.5 9.0 9.0 8.7 8.6 9.0 9.0 9.0 SiO₂ 62.3 64.0 64.0 67.6 66.5 63.9 63.9 63.9 SnO₂ 0.07 0.10 0.10 0.17 0.17 0.10 0.10 0.10 T_(str) 631 648 649 667 665 632 632 635 α 46.0 48.4 45.8 45.9 46.6 46.5 45.9 45.8 ρ 2.67 2.63 2.72 2.77 2.73 2.72 2.72 T_(liq) 1075 1150 1145 1100 1075 1050 1025 1020 η_(liq) (kP) 124 235 166 364 437 T₂₀₀ 1563 1545 1490 1490 1494

TABLE 13 Example Mol % 83 84 85 86 87 88 89 MgO 3.8 3.9 1.8 0.0 2.0 2.0 2.0 CaO 6.0 5.7 11.0 10.0 9.0 1.3 0.8 SrO 2.2 2.5 2.9 9.0 8.0 11.9 11.5 BaO 7.6 6.2 3.3 0 0 2.0 4.0 ZnO RO 19.5 18.3 19.0 19.0 19.0 17.2 18.3 B₂O₃ 9.8 9.8 10.7 8.0 8.0 6.4 6.4 Al₂O₃ 9.8 9.9 8.5 9.0 9.0 8.6 8.6 SiO₂ 60.9 62.0 62.3 64.0 64.0 67.6 66.5 SnO₂ 0.10 0.10 0.07 0.10 0.10 0.17 0.17 T_(str) 630 631 613 648 649 667 665 α 48.2 46.0 46 48.4 45.8 45.9 46.6 ρ 2.77 2.71 2.67 2.63 2.72 2.77 T_(liq) 1045 1075 1150 1145 1100 1075 η_(liq) (kP) 106 124 235 T₂₀₀ 1443 1563 1545

Example 2

An experiment was performed to empirically demonstrate the impact of residual stress on CdTe device performance using glass substrates with varying CTE. The experiment consisted of fabricating CdTe devices using the vapor transport deposition process on three different glass substrates having a CTE of 3.1, 4.3 and 8.5 ppm/° C., respectively. FIG. 3 summarizes the residual stress and the corresponding efficiencies for the CdTe devices fabricated on each of the three glass substrates. The efficiencies were calculated using the following equation:

Eff=V _(OC) ×J _(SC) ×FF

where the open circuit voltage VOC, the short circuit JSC and the fill factor FF are the device parameters that were extracted from the current-voltage behavior of each solar cell devices under AM1.5 irradiance at 25° C. The residual stress profile in the CdTe film was measured by glancing incidence x-ray diffraction over a range of (hkl) and at different incident beam angles. Uniform stress (σ) from a given direction (Ψ) results in uniform lattice strain (εΨ), which causes angular peak displacement, while non-uniform stress distorts peak shape. The measured strain is related to the applied stress by the elastic compliance coefficients. The in-plane strain-stress relationship for f.c.c. materials is:

$ɛ_{\Psi}^{hkl} = {\left( \frac{d_{\Psi} - d_{0}}{d_{0}} \right)^{hkl} = {\sigma \left\lbrack {\frac{\left( {{2S_{11}} + {4S_{12}} - S_{44}} \right)}{3} + {\left( \frac{S_{44}}{2} \right)\sin^{2}\Psi}} \right\rbrack}}$

The CdTe compliance coefficients are S₁₁=4.25×10−11 Pa, S₁₂=−1.73×10−11 Pa, and S₄₄=5.02×10−11 Pa. The measured (hkl) peak positions were reduced to the substrate reference frame and the residual stress associated with each peak was calculated.

To explain the results, we first we note that the CTE of the CdTe film can range from ˜5.5 to ˜6.5 ppm/° C. and is largely influenced by the CdTe deposition process which was noted earlier in this case to be by vapor transport. By convention, negative stress indicates in-plane compression (tension normal to substrate) and positive stress indicates in-plane tension (compression normal to substrate). The CdTe film deposited on the 8.5 ppm/° C. CTE glass is relatively relaxed at the surface and under significant in-plane compression within the film. The CdTe film deposited on the 4.3 ppm/° C. CTE substrate is under in-plane tension at the exposed surface and become more relaxed within the bulk, but with slight in-plane tension. The CdTe film deposited on the 3.1 ppm/° C. CTE substrate exhibit mixed stress at the surface and is under in-plane tension in the bulk. The mean residual bulk stress for this set of samples exhibits a linear correlation with glass CTE. The intercept CTE for which no strain is expected in this case is ˜6 ppm/° C. The corresponding efficiency indicates a trend of increased efficiency as the residual stress magnitude decreases as illustrated by the grey dashed trace. This suggests a CdTe device with no residual stress in the film will exhibit optimum solar cell conversion efficiency.

To further illustrate the impact of the substrate CTE on CdTe solar cell device performance, another experiment was performed to empirically demonstrate the impact of residual stress on CdTe device performance using glass substrates with varying CTE. In this case, the experiment consisted of fabricating CdTe devices using the close spaced sublimation deposition process on glass substrates with CTE of 4.1, 5.8, 6.6 and 8.6 ppm/° C., respectively. Unlike the earlier described experiment, the glass substrates in this experiment were from the same alkali-free composition family so as to limit/mitigate any non-intended variables that could influence the experiment outcome. FIG. 5 summarizes the residual stress and the corresponding efficiencies for the CdTe devices fabricated on each of the glass substrates. As in FIG. 3, here we also observe the mean residual bulk stress for this set of samples exhibits a linear correlation with glass CTE. In this case, the intercept CTE for which no strain is expected is ˜5.5 ppm/° C. And again, the corresponding efficiency indicates a trend of increased efficiency as the residual stress magnitude decreases as illustrated by the dashed trace.

Stress and strain are known to cause microstructural defects in semiconductor films that can degrade the electrical performance of devices made thereafter in the film. In the case of CdTe solar cells, it is suggested that the defect density in the CdTe film follows a direct trend with the residual stress magnitude in the film: higher residual stress leads to higher defect density. Higher defect density then leads to higher recombination losses in the bulk of the film which then leads to lower open circuit V_(OC). Lower V_(OC) then leads to a lower efficiency. To this point, the devices summarized in FIG. 4 received additional characterization to demonstrate the impact of CdTe film defect density on the corresponding solar cell efficiency. The carrier concentration was calculated from the capacitance-voltage measurement that was performed on each solar cell device. The carrier concentration profile was then mapped into a device model that was constructed within the framework of a 2-D physics-based semiconductor device model from SILVACO TCAD software. The defect density was then extracted by fitting the measured current density-voltage curves. FIG. 5 shows the efficiency and the corresponding extracted defect density as a function of the CdTe film residual stress for the same devices in FIG. 4. Using the dashed lines as a guide, it can be shown that the defect density approaches minimum and the efficiency approaches optimum where the magnitude of the residual stress in the CdTe film is minimal.

The alkalis in the glass and low melting temperature combine to accelerate melting thus enabling high volume, low-cost melting and forming relative to alkali-free alternatives while retaining competitive properties, including in particular mechanical and dimensional stability when reheated to high temperature. These glasses are well suited for large-volume sheet glass applications, particularly OLED lighting and cadmium telluride (CdTe) photovoltaics, for which thermal stability, large volumes, and low cost are desirable substrate attributes.

It will be apparent to those skilled in the art that various modifications and variations can be made to the present invention without departing from the spirit or scope of the invention. Thus, it is intended that the present invention cover the modifications and variations of this invention provided they come within the scope of the appended claims and their equivalents. 

1. A glass comprising about, in mol %: 60 to 65 percent SiO₂; 8 to 12 percent Al₂O₃; 7 to 15 percent B₂O₃; 0 to 8 percent M₂O; and 9 to 15 percent RO; wherein, M is an alkali metal and wherein, R is an alkaline earth metal, and the glass has a coefficient of thermal expansion of from about 4.0 to about 7.5 ppm/° C. from 25 to 300° C.
 2. The glass according to claim 1, wherein the glass has a coefficient of thermal expansion of from about 4.5 to about 6.5 ppm/° C. from 25 to 300° C.
 3. The glass according to claim 2, wherein the glass has a coefficient of thermal expansion of from about 4.5 to about 6.0 ppm/° C. from 25 to 300° C.
 4. The glass according to claim 1, comprising about 0.1 to 8 mol % M₂O.
 5. The glass according to claim 1, comprising about, in mol %: 61 to 64 percent SiO₂; 8 to 12 percent Al₂O₃; 9 to 15 percent B₂O₃; greater than 0 to 4 percent M₂O; and 12 to 15 percent RO.
 6. The glass according to claim 1, comprising about, in mol %: 60 to 65 percent SiO₂; 8 to less than 10 percent Al₂O₃; greater than 11 to 15 percent B₂O₃; greater than 0 to less than 1 percent M₂O; and 9 to 15 percent RO.
 7. The glass according to claim 1, comprising about, in mol %: 60 to 65 percent SiO₂; 10 to 12 percent Al₂O₃; 7 to 11 percent B₂O₃; 1 to 8 percent M₂O; and 9 to 15 percent RO.
 8. The glass according to claim 1, further comprising about 0.01 to 0.4 mol % SnO₂.
 9. The glass according to claim 1, comprising about, in mol %: 62 to 65 percent SiO₂; 10 to 12 percent Al₂O₃; 7 to 11 percent B₂O₃; 3 to 8 percent MgO; 3 to 10 percent CaO; 3 to 8 percent SrO; and 1 to 8 percent M₂O; wherein, M is an alkali metal selected from K, Na, and combinations thereof and wherein, CaO/(CaO+SrO) is from 0.4 and
 1. 10. A glass comprising about, in mol %: 20 to 70 percent SiO₂; 5 to 20 percent Al₂O₃; 0 to 15 percent B₂O₃; 0 to 1 percent M₂O; 0 to 10 percent MgO; 8 to 35 percent CaO; 0 to 16 percent SrO; 0 to 9 percent BaO; and 20 to 45 percent RO; wherein, M is an alkali metal and wherein, R is an alkaline earth metal, and the glass has a coefficient of thermal expansion of from about 4.0 to about 7.5 ppm/° C. from 25 to 300° C.
 11. The glass according to claim 10, wherein the glass has a coefficient of thermal expansion of from about 4.5 to about 6.5 ppm/° C. from 25 to 300° C.
 12. The glass according to claim 11, wherein the glass has a coefficient of thermal expansion of from about 4.5 to about 6.0 ppm/° C. from 25 to 300° C.
 13. The glass according to claim 12, comprising about, in mol %: 57 to 68 percent SiO₂; 5 to 12 percent Al₂O₃; 0 to 8 percent B₂O₃; 0 to 0.1 percent M₂O; 0 to 10 percent MgO; 8 to 28 percent CaO; 0 to 10 percent SrO; 0 to 9 percent BaO; and 21 to 32 percent RO; wherein, M is an alkali metal and wherein, R is an alkaline earth metal, and the glass has a coefficient of thermal expansion of from about 4.0 to about 6.0 ppm/° C. from 25 to 300° C.
 14. A glass comprising about, in mol %: 60 to 68 percent SiO₂; 8 to 11 percent Al₂O₃; 6 to 11 percent B₂O₃; 0 to 1 percent M₂O; 0 to 5 percent MgO; greater than 0 to 12 percent CaO; 1 to 12 percent SrO; 0 to 8 percent BaO; and 16 to 20 percent RO; wherein R is an alkaline earth metal, and M is an alkali metal, and the glass has a coefficient of thermal expansion of from about 4.0 to about 7.5 ppm/° C. from 25 to 300° C.
 15. The glass according to claim 14, wherein the glass has a coefficient of thermal expansion of from about 4.5 to about 6.5 ppm/° C. from 25 to 300° C.
 16. The glass according to claim 15, wherein the glass has a coefficient of thermal expansion of from about 4.5 to about 6.0 ppm/° C. from 25 to 300° C. 17-30. (canceled) 